To begin, group the position shapes together. If you are unsure why they are grouped as shown below then look carefully at each pairing and the positions of the root notes in each.
Minor pentatonic pattern 1 goes with major pentatonic pattern 1 (E-Shape). Look where the root notes are positioned.
Minor pentatonic pattern 2 goes with major pentatonic pattern 2 (D-Shape). Look where the root notes are positioned.
Minor pentatonic pattern 3 goes with major pentatonic pattern 3 (C-Shape). Look where the root notes are positioned.
Minor pentatonic pattern 4 goes with major pentatonic pattern 4 (A-Shape). Look where the root notes are positioned.
Minor pentatonic pattern 5 goes with major pentatonic pattern 5 (G-Shape). Look where the root notes are positioned.
NOTE
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Major pentatonic pattern 1 is the same shape as minor pentatonic pattern 2.
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Major pentatonic pattern 2 is the same shape as minor pentatonic pattern 3.
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Major pentatonic pattern 3 is the same shape as minor pentatonic pattern 4.
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Major pentatonic pattern 4 is the same shape as minor pentatonic pattern 5.
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Major pentatonic pattern 5 is the same shape as minor pentatonic pattern 1.
This is where the ‘slide 3 frets down’ concept fits. The matching shapes are displaced by one pattern, offset pattern numbers having the same shapes on the fretboard.